Combinatorics - practice problems - page 3 of 50
Combinatorics is a part of mathematics that investigates the questions of existence, creation and enumeration (determining the number) of configurations.It deals with two basic tasks:
How many ways can we select certain objects
How many ways can we arrange certain objects
Number of problems found: 994
- Probability 67264
The teacher has 20 questions, from which the student chooses two on the exam. The student learned 10 questions well, 6 partially, and 4 not at all. What is the probability that he will get both questions he knows well? - Contestants 67104
The contestants have to create an ice cream sundae containing three different types of ice cream. They can use cocoa, yogurt, vanilla, hazelnut, punch, lemon and blueberry ice cream. How many different ice cream sundaes can the contestants create? - Possibilities 67094
5A students must elect a three-member class committee. However, only 6 pupils out of 30 are willing to work in it. How many possibilities do they have to create it if it does not matter what function the committee member will perform? - Raspberries 66824
Klára wants to make a fruit cocktail from three types of fruit. It has pineapple, pears, bananas, raspberries, and cherries. How many different cocktails can he create? - Designated 66594
Marenka is required to read three books out of five designated books. How many ways can three books choose to be read? - Combinations equation
C(2, 8) + C(3, 4) = - 6 married
Six married couples are in a room. If two people are chosen at random. Find the probability that; a). they are married. b). one is male, and one is female. - Different 65654
Jane received three different marks (1-5) during the day. How many marks did she receive? A) 6 B) 8 C) 10 D) 12 - Three digit from four digits
How many three-digit numbers can you make using the digits 4,6,7, and 9? - Four-digit 65124
Please find out how many different four-digit numbers we can create from the digits 3 and 8 so that the two digits three and two digits eight are used in each four-digit number created. - Probability 64634
What probability does a randomly drawn two-digit number have the same digits? Write the result as a decimal number. - Sons
The father has six sons and ten identical, indistinguishable balls. How many ways can he give the balls to his sons if everyone gets at least one? - Probability RGB
The bag has six red, five green, eight blue, and 11 yellow balls. What is the probability that we will pull out a green ball? - Three-digit number
How many three-digit natural numbers can we form from the digits 0, 1, and 2 if the numerals can be repeated in these numbers? - Combinations 63634
Jana has three blouses: red, blue, and white, and three skirts: blue, black, and brown. In how many days will all combinations of blouses and skirts change? - Identical 63414
Jeníček has 4 identical yellow dice and 3 identical blue dice. How many different colored snakes can make them? - According 63394
Three boys and four girls. How many ways can they be placed side by side according to gender? - Six attractions
How many opportunities do you have if you want to complete ten rides on the fair, but there are only six attractions? - School group
There are five girls and seven boys in the group. They sit in a row next to each other. How many options if no two girls sit next to each other? - Possibilities 57821
How many different positions can there be in the first three places in the hockey world championship if 12 teams are playing in them? How many possibilities exist if we are only concerned with which teams will be on the podium?
Do you have homework that you need help solving? Ask a question, and we will try to solve it.